Fluid as a moving continuum. Validity of the continuum approximation.

Kinematics, the velocity field. Eulerian representation of fields. Lagrangian coordinates.

Streamlines, path lines, and streak lines. The material derivative as

a time derivative following a Lagrangian particle. Example: The oscillating
vortex.This example may be studied in

MATLAB using the m-files vortex.m and lagvort.m.

**Suggested reading:**

- Batchelor 1-6, 71-77.
- Milne-Thomson 1-7